To classification of linear cocycles over ergodic automorphisms / M. E. Lipatov. //Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2013. ? 2. P. 39-42 [Moscow Univ. Math. Bulletin. Vol. 68, N 2, 2013.].

We classify complex linear cocycles over ergodic automorphisms with the help of the barycenter method. A conjugating random matrix is built in explicit form.

Key words: linear cocycles, classification, barycenter.